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Formula For % Increase

Percentage Increase Formula:

\[ \text{Percentage Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 \]

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1. What is Percentage Increase?

Percentage increase measures how much a quantity has grown relative to its original value, expressed as a percentage. It's commonly used to track growth, inflation, performance improvements, and other changes over time.

2. How Does the Calculator Work?

The calculator uses the percentage increase formula:

\[ \text{Percentage Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 \]

Where:

Explanation: The formula calculates the difference between new and old values, divides by the original value to get relative change, then converts to percentage by multiplying by 100.

3. Importance of Percentage Increase

Details: Percentage increase is fundamental in business (sales growth), finance (investment returns), economics (inflation rates), and science (experimental results). It provides a standardized way to compare changes across different scales.

4. Using the Calculator

Tips: Enter both old and new values in the same units. The old value must be non-zero. Positive results indicate growth, negative results indicate decrease.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between percentage increase and absolute increase?
A: Absolute increase is simple subtraction (new - old), while percentage increase shows the change relative to the original value.

Q2: How do I interpret a negative percentage increase?
A: A negative result actually indicates a percentage decrease in value.

Q3: Why can't the old value be zero?
A: Division by zero is mathematically undefined. Percentage change from zero is meaningless.

Q4: How is this different from percentage points?
A: Percentage points measure absolute difference between percentages, while percentage increase measures relative change from an original value.

Q5: Can percentage increase exceed 100%?
A: Yes, values over 100% indicate the new value is more than double the original.

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